On interpretation of complex numbers
Alexander I. Zhbanov
TL;DR
This paper proposes new types and interpretations of complex and hypercomplex numbers that trivially satisfy fundamental algebraic laws and norm axioms, offering a novel perspective on their mathematical structure.
Contribution
It introduces new types and interpretations of complex and hypercomplex numbers that simplify the satisfaction of algebraic and norm axioms.
Findings
New types of complex numbers proposed
Simplified algebraic properties demonstrated
Potential applications in mathematical modeling
Abstract
We suggest new types and interpretation of complex and hypercomplex numbers for which the commutative, associative, and distributive laws and the norm axioms are trivially satisfied.
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Taxonomy
TopicsLogic, programming, and type systems · Algebraic and Geometric Analysis · Mathematical and Theoretical Analysis